Zobrazeno 1 - 10 of 21 pro vyhledávání: '"Peng-Jie Wong"'
2
Selberg's orthogonality conjecture and symmetric power L-functions
Autor: Peng-Jie Wong
Publikováno v: Journal of Number Theory. 238:967-977
Let π be a cuspidal representation of GL 2 ( A Q ) defined by a non-CM holomorphic newform of weight w ≥ 2 , and let K / Q be a totally real Galois extension with Galois group G. In this article, under Selberg's orthogonality conjecture, we show t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8d2cb0aa4ec700c1f261e9297c5a15b
https://doi.org/10.1016/j.jnt.2021.11.001
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3
ON STARK’S CLASS NUMBER CONJECTURE AND THE GENERALISED BRAUER–SIEGEL CONJECTURE
Autor: Peng-Jie Wong
Publikováno v: Bulletin of the Australian Mathematical Society. 106:288-300
Stark conjectured that for any $h\in \Bbb {N}$ , there are only finitely many CM-fields with class number h. Let $\mathcal {C}$ be the class of number fields L for which L has an almost normal subfield K such that $L/K$ has solvable Galois closure. W
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5a74082ceda63d76091439719a0029dc
https://doi.org/10.1017/s0004972721001076
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6
Refinements of strong multiplicity one for $\mathrm{GL}(2)$
Autor: Peng-Jie Wong
For distinct unitary cuspidal automorphic representations $\pi_1$ and $\pi_2$ for $\mathrm{GL}(2)$ over a number field $F$ and any $\alpha\in\Bbb{R}$, let $\mathcal{S}_{\alpha}$ be the set of primes $v$ of $F$ for which $\lambda_{\pi_1}(v)\neq e^{i\a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43149ccf41d8ad1d0b112fabda0cf191
http://arxiv.org/abs/2203.10436
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8
On the Chebotarev–Sato–Tate phenomenon
Autor: Peng-Jie Wong
Publikováno v: Journal of Number Theory. 196:272-290
We study the Chebotarev–Sato–Tate phenomenon that concerns the distribution of Artin symbols and Frobenius angles. From the recent work of Barnet-Lamb et al., we derive some unconditional results in the case of Hilbert modular forms. Furthermore,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::11d953a0a82afd12afa11418af712b35
https://doi.org/10.1016/j.jnt.2018.09.010
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9
Counting zeros of Dedekind zeta functions
Autor: Peng-Jie Wong, Quanli Shen, Elchin Hasanalizade
Given a number field $K$ of degree $n_K$ and with absolute discriminant $d_K$, we obtain an explicit bound for the number $N_K(T)$ of non-trivial zeros (counted with multiplicity), with height at most $T$, of the Dedekind zeta function $\zeta_K(s)$ o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a844e8d1ef7c868be3a5c7a83662a36
http://arxiv.org/abs/2102.04663
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10
Counting zeros of the Riemann zeta function
Autor: Quanli Shen, Elchin Hasanalizade, Peng-Jie Wong
In this article, we show that $$ \left| N (T) - \frac{T}{ 2 \pi} \log \left( \frac{T}{2\pi e}\right) \right| \le 0.1038 \log T + 0.2573 \log\log T + 9.3675 $$ where $N(T)$ denotes the number of non-trivial zeros $\rho$, with $0
Comment: Accepted
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